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Finding the Fourth Proportional to 83,389.12, 115,076.16 and 45,148

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Solution

The fourth proportional to 83,389.12, 115,076.16 and 45,148 is: 62,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,389.12 : 115,076.16 = 45,148 : x
  2. Step 2: Convert to fraction form
    83,389.12/115,076.16 = 45,148/x
  3. Step 3: Cross multiply
    83,389.12x = 115,076.16 × 45,148
  4. Step 4: Simplify right side
    83,389.12x = 5,195,458,471.68
  5. Step 5: Solve for x
    x = 5,195,458,471.68/83,389.12
  6. Step 6: Final answer
    x = 62,303.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.